The generator matrix

 1  0  0  1  1  1 14 14  1  1  1  1 10 12 14  1  1  2  1  1  0  1 12  1 10  1  6  1  0  1  1  1  1  1  4  2  4  1  2  6  1 12  1  1  8  1  1  4  1 14  1  6  6  1  1  1  1  1  1  8  0  1  1  1  6  1  1  0  4  1  0 14  1 12  1  4  1 10  6  1  1 12 14 12  1 14  1  2  1
 0  1  0  0  5 13  1  6 13  9  8  8  1  1  8  2  3  1  7 14  1 11  6 15  1  6  1 10  1  1  8  4 11  1  1 10  6 15  1  1  8  1 14 15  4  1 10  1  1  4  2  1  1  0 15  4  7  7 15  1  4  6  4  8 12 13  1  2  1 13  1  1 12  1  5  1 13  1  1  8  6  8  1  1 14  0 10  8  4
 0  0  1 11  7  4  3  1 13  2  1  6  5 14  1  5  9 14  6 12  1  0  1  3  4  7  7  2  7  8  0 11  5  6  4  1  1  7  2  9 14 10  5  8  1 13  6  5 14  1  0 11 13 13  2 12  0 10  7  4  1 11 15  2  1  7  9  1  1 10  5 14 15  4 12  3  5  6  4 10 10  1  9 14 12  1  9  6  2
 0  0  0 12  4  0 12  4  8  4  8 12  0 12  0 12 12  4  4  0  4  8  4  0  8 12  8  8 12 12  4  4  0  8  8 12  8  0  4  4  8  8  0  4  0 12 12  0  4 12  8 12  0  4  4 12 12  0  4  0  8 12  8  0  0  8  0  0 12 12 12  0  8 12  8  4  8  8  4  0  0  4  8  0 12  8  0 12  8
 0  0  0  0  8  0  8  8  0  8  0  8  0  8  0  8  8  8  8  0  8  0  8  0  0  8  0  0  8  8  8  8  0  0  8  0  8  8  0  0  8  8  8  0  8  0  0  8  0  0  8  0  8  0  0  0  8  8  8  8  8  0  8  8  8  8  0  8  0  8  8  0  0  0  8  0  8  8  0  0  8  0  0  0  8  8  0  0  8

generates a code of length 89 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+269x^82+990x^83+1487x^84+2434x^85+2669x^86+3410x^87+3568x^88+4094x^89+3151x^90+3362x^91+2388x^92+1966x^93+1307x^94+828x^95+365x^96+210x^97+105x^98+78x^99+29x^100+24x^101+13x^102+2x^103+2x^104+8x^105+3x^106+2x^107+3x^110

The gray image is a code over GF(2) with n=712, k=15 and d=328.
This code was found by Heurico 1.16 in 15.6 seconds.